Some interesting decompositions of the harmonic series
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F09%3A%230002953" target="_blank" >RIV/60162694:G43__/09:#0002953 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Some interesting decompositions of the harmonic series
Original language description
It is well known that the harmonic series diverges. In this paper we present a few various decompositions of the harmonic series into two subseries. Some of these subseries diverge, e.g. the series of reciprocals of the even numbers or the series of reciprocals of the primes. But another ones surprisingly converge, as e.g. so-called Kempner's series.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Sborník abstraktů 18. semináře "Moderní matematické metody v inženýrství"
ISBN
978-80-248-2118-4
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
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Publisher name
Vysoká škola báňská - Technická univerzita Ostrava
Place of publication
Ostrava
Event location
Dolní Lomná
Event date
Jan 1, 2009
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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